Simplify
Solve with x
Solve to find x
Inequalities
Misc
100

Simplify the following:

4d + 40 + 3d - 20

7d + 20 or 20 + 7d

100

Solve, with x = 2

4x + 18

    4(2) + 18
= 8 + 18
= 26

100

Solve to find x. 

6 + 4x = 18

6 + 4x = 18
- 6           - 6

     4x = 12
      4      4   

      x  =  3

100

Write the following as an inequality (with numbers, variables, and symbols):

The minimum age to drive a car is 16. 

16 ≤ a or a ≥ 16

100

What is a variable?

A variable is a letter used to represent a number or amount that is UNKNOWN or CHANGES.

200

Simplify the following:

65 + 3c - c + 5

2c + 70 or 70 + 2c

200

Solve, with x = 5

47 - x
   6    
  

   47 - (5)
       6
42
6

= 7

200

Solve to find x. 

   27 = 2 +  x 
                  4   

27  =  2 + x      
 -2            4    -2

25 = x         
x4    4   x4

100 = x

200

Write the following as an inequality (with numbers, variables, and symbols):

Dollar Tree sells items for a maximum price of $1.75.

p ≤ 1.75 or 1.75 ≥ p

200

What "order" do you use, to isolate x?

Reverse BEDMAS order.

300

Simplify the following:

7k - 10 + 2k + 50

9k + 40 or 40 + 9k

300

Solve, with x =10

6x + 4 - 2x

6(10) + 4 + 2(10)

= 60 + 4 + 20

= 84

300

Solve to find x. 

5x - 3 = 4
    8

5x - 3 = 4
   8 x8    x8         

= 5x - 3 = 32
        +3     +3

= 5x = 35
    5      5

= x = 7

300

Solve the following inequality. 

3x + 28 > 58

3x + 28 > 58  
     -28      -28   

3x > 30 
 3      3  

x > 10

300

If x < -4, 

could x = 0?

No - because 0 is greater than -4, and x must be less than -4.
400

Simplify the following:

17s + 4 - 5s + 10 - s - 20

11s - 6 or -6 + 11s

400

Solve, with x = 8

x2 - 3x

(8)2 - 3(8)

= 64 - 3(8)

= 64 - 24

= 40

400

Solve to find x. 11

4x - 5 = 8x - 21

4x - 5 = 8x - 21
  - 4x        - 4x

  - 5 = 8x - 21

 +21      +21

  16 = 8x
   8      8  

   2 = x

400

Solve the following inequality.

 x  + 5 < 13
 6              

  x  + 5 < 13  
  6   -5      -5

 x    <   8 
 6 x6    x6

x < 48

400

If x ≤ 15, 

could x be 15?

Yes - because x ≤ 15 means x must be less than OR EQUAL TO 15.

500

Simplify the following:

-7y + 2 - 3y + y + 4

-9y + 6 or 6 - 9y

500

Solve, with x = 7

3 + (5x - 11)
        9          

3 + (5(7) - 11)
        9          

= 3 + (35 - 11)
        9  

= 3 + 24
       9       

= 27
    9

= 3

500

Solve to find x.

13x - 15 = x + 21

13x - 15 = x + 21
-x               -x

12x - 15 = 21
       +15    +15

12x = 36
12     12 

   x = 3

500

Create a line graph that shows the following:

 x ≤ 9

(Line graph should have a dot at 9 FILLED IN, with an arrow pointing LEFT)

500

Find the error made below:

  2x  + 14 = 22

       ÷2         ÷2
    x + 14 = 11
        -14      -14
           x = -3

The x was not isolated in reverse BEDMAS order.
The 14 should have been "moved" or "balanced" first.

2x + 14 = 22
     -14      -14
2x = 8
÷2    ÷2
  x = 4